Algebra Winter Benchmark

Simplify:
(4x - 5) + (-2x - 5) 

• -2x 

• 6x + 10

• 2x - 10

• -2x - 10

Tags

CCSS.7.EE.A.1

The sentence,two more than the product of five and a number is less than 8 times the number, translates to which mathematical statement?

• 2 + 5n > 8 + n

• 5n + 2 < 8n

• 2n + 5 < 8n

• 7n < 8n

Tags

CCSS.7.EE.B.4B

Use points on the line of best fit to create the equation for the following scatter plot.

Tags

CCSS.HSF-IF.C.7A

What would be the correlation coefficient for the scatter plot?

Solve this system by substitution.

• (1, -4)

• (1, 4)

• (-4, -7)

• (-7, -4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve using elimination. 
−4x − 4y = 0
4x + 4y = 0 

• (−6, −4) 

• Infinite number of solutions  

• (−6, 10) 

• (6, 4) 

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

• (0,3)

• (3,0)

• No solution(parallel lines)

• Infinitely many solutions

Tags

CCSS.8.EE.C.8B

Solve this system of equation

5x - 2y = 9

2x + 7y = -12

• (1, -1)

• (-1, 1)

• (-1, 2)

• (1, -2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

There are 50 donkeys and chickens on a far.  There are a total of 174 legs.  Which system below can be used to figure out how many of each animal the farm has?

• d + c = 174
  4d + 2c = 50

• d + c = 50
  4d + 2c = 174

• d + c = 50
  2d + 4c = 174

• d + c = 174
  2d + 4c = 50

Tags

CCSS.8.EE.C.8C

Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. How much did one shirt cost?

• $5

• $10

• $15

• $20

Tags

CCSS.8.EE.C.8C